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A uniqueness theorem for the determination of sources in the Germain–Lagrange plate equation
(San Diego, 2013)
We prove a uniqueness result related to the Germain–Lagrange dynamic plate differential equation. We consider the equation {∂2u∂t2+△2u=g⊗f,in ]0,+∞)×R2,u(0)=0,∂u∂t(0)=0, where uu stands for the transverse displacement, ff ...
Transpressional tectonics and strain partitioning during oblique collision between three plates in the Precambrian of southeast Brazil
(1998-12-01)
This paper is part of the special publication Continental transpressional and transtensional tectonics (eds R.E. Holdsworth, R.A. Strachan and J.F. Dewey). Two orogenic belts have been recognized in south- east Brazil, ...
A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports
(Elsevier, 2013-04)
A general variational formulation for the determination of natural frequencies and mode shapes of free vibration of laminated trapezoidal and triangular plates is presented in this work. The kinematics corresponding to the ...
A variational approach to free vibration analysis of shear deformable polygonal plates with variable thickness
(Elsevier, 2010-05)
This paper presents a simple and general variational approach for the study of the free vibration behaviour of polygonal isotropic plates with variable thickness. The Reissner-Mindlin plate theory is used to take into ...
Free Vibrations of a Trapezoidal Plate with an Internal Line Hinge
(Hindawi Publishing Corporation, 2014-02)
This paper deals with a general variational formulation for the determination of natural frequencies and mode shapes of free vibrations of laminated thin plates of trapezoidal shape with an internal line hinge restrained ...
A note on the use of variational methods for treatment of plate dynamics
(Sage Publications Ltd, 2011-06)
The present note deals with a methodology for development of compact analytical schemes, for the derivation of boundary value problems, which describe the statical and dynamical behaviours of plates with complicating ...
Arbitrary precision frequencies of a free rectangular thin plate
(Elsevier, 2000-02)
A variational method developed by the authors and named whole element
method (WEM) is used to find the arbitrary precision frequencies of a rectangular thin plate (within the Germain}Lagrange theory) having its four borders ...
Approximate study of the free vibrations of a cantilever anisotropic plate carrying a concentrated mass
(Elsevier, 2007-05-03)
This study is concerned with the vibration analysis of a cantilevered rectangular anisotropic plate when a concentrated mass is rigidly attached to its center point. Based on the classical theory of anisotropic plates, the ...
Approximation of Young measures by functions and application to a problem of optimal design for plates with variable thickness
(1994)
Given a parametrised measure and a family of continuous functions (<pn), we construct a
sequence of functions (uk) such that, as fc-> co, the functions fn(uk) converge to the
corresponding moments of the measure, in the ...